Existence of solutions for semilinear problems on exterior domains
Files
Date
2020-04-15
Authors
Iaia, Joseph
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article we prove the existence of an infinite number of radial solutions to ∆u + K(r)ƒ(u) = 0 on ℝN such that lim r→∞ u(r) = 0 with prescribed number of zeros on the exterior of the ball of radius R > 0 where ƒ is odd with ƒ < 0 on (0, β), ƒ > 0 on (β, ∞) with ƒ superlinear for large u, and K(r) ∼ r-α with α > 2 (N - 1).
Description
Keywords
Exterior domain, Superlinear, Radial solution
Citation
Iaia, J. (2020). Existence of solutions for semilinear problems on exterior domains. <i>Electronic Journal of Differential Equations, 2020</i>(34), pp. 1-10.
Rights
Attribution 4.0 International